Pulse Propagation in Anisotropic, Randomly Inhomogeneous Media

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Abstract
A theoretical study is conducted of plane‐harmonic narrow‐band pulse propagation in a statistically uniform but anisotropic transmission medium of weak, stationary refractive‐index fluctuation. Large‐scale inhomogeneities of arbitrary ellipsoidal shape are treated, with transmitter‐to‐receiver ranges taken as large compared with the longitudinal correlation length. Of interest is the influence of range, transmitter frequency, and degree of anisotropy on the pulse shape and intensity. Comparison is made between pulse transmission in isotropic and anisotropic random media, and special attention is given the low‐ and high‐frequency limits of the theory as well as certain extreme conditions of anisotropy. The general formulation is applied to the analysis of both an initially Gaussian and an initially rectangular pulse.

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